W. Zuo et Sj. Wang, ALGEBRAIC DYNAMICAL-APPROACH TO THE LINEAR NONAUTONOMOUS SYSTEM WITH HW(4) DYNAMICAL ALGEBRA, Helvetica Physica Acta, 70(4), 1997, pp. 578-589
The exact solution and the invariant Cartan operator of the linear non
autonomous system with hw(4) dynamical algebra, which describes the in
teraction of a quantized radiation field with a time-dependent classic
al current, are obtained by using the method of algebraic dynamics. Tw
o kinds of solutions are obtained in terms of both harmonic oscillator
states and coherent states. The rule (or condition) for direct quantu
m-classical correspondence of the solutions has been established. It h
as also been shown that algebraic dynamics can be generalized from til
e linear dynamical system with a semi-simple Lie algebra to that with
a general Lie algebra.